Integrable Superhierarchy of Discretized 2d Supergravity

Details Integrable Superhierarchy of Discretized 2d Supergravity Integrable Superhierarchy of Discretized 2d Supergravity

1992-06-24

arxiv.org/abs/hep-th/9206091v1

Phys.Lett. B299 (1993) 64-71

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, Latex

Scientific paper

10.1016/0370-2693(93)90884-K

The hierarchical nonlinear super-differential equations are identified which describe universal behavior of the discretized model of $2d$ supergravity recently proposed. This is done by first taking a double scaling limit of the super Virasoro constraints ( at finite $N$) of the model and by rederiving it from the $\tilde{G}_{-1/2}$ constraint and the two reduction of the super KP hierarchy discussed. The double-scaled constraints are found to be described by a twisted scalar and a Ramond fermion.

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